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Finding the Third Proportional to 285,382 and 614,914

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Solution

The third proportional to 285,382 and 614,914 is: 1,324,958.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,382 : 614,914 = 614,914 : x
  2. Step 2: Convert to fraction form
    285,382/614,914 = 614,914/x
  3. Step 3: Cross multiply
    285,382x = 614,914 × 614,914
  4. Step 4: Simplify right side
    285,382x = 378,119,227,396
  5. Step 5: Solve for x
    x = 378,119,227,396/285,382
  6. Step 6: Final answer
    x = 1,324,958.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.